I don't understand can you help me?
Alicia has made a rectangle using 24 square tiles. If she adds the length and width of her rectangle together, she gets 11. What is the length and width of Alicia's rectangle?
8 and 3.
244 width and 35 for length
write figur
change .5 into a fraction
leon rents a video for $5. he returns the video game 3 days late. the late fee is $1 for each day late.simplify the expression 5+3.1 to find out how much it costs leon to rent the video game
Of course, I can help you with that! To find the length and width of Alicia's rectangle, we can start by setting up an equation based on the given information.
Let's say the length of the rectangle is represented by "L" and the width is represented by "W". We are told in the problem that when we add the length and width together, we get 11. So, we can write the equation as:
L + W = 11 (Equation 1)
Now, we also know that Alicia made the rectangle using 24 square tiles. Since a rectangle is made up of rows and columns of square tiles, the total number of tiles used would be the product of the length and width. In this case, the total number of tiles must be 24. So, we can write another equation based on this information:
L * W = 24 (Equation 2)
Now we have a system of equations (Equation 1 and Equation 2). We can solve this system of equations to find the values of length (L) and width (W) that satisfy both equations.
There are several ways to solve this system of equations, but one common method is substitution. Let's solve the first equation (Equation 1) for one variable and substitute it into the second equation (Equation 2).
From Equation 1: L = 11 - W
Substituting L in Equation 2: (11 - W) * W = 24
Expanding and rearranging this equation: W^2 - 11W + 24 = 0
Now, we have a quadratic equation in terms of W. We can factor this equation or use the quadratic formula to solve for W.
By factoring: (W - 3)(W - 8) = 0
So, W can be either 3 or 8.
If W = 3, then L = 11 - 3 = 8.
If W = 8, then L = 11 - 8 = 3.
Therefore, there are two possible solutions: the length and width of Alicia's rectangle can be either 8 by 3 or 3 by 8.